For a system of \(N\)  agents, each agent \(i\)  has an evolving opinion \(x_i(t) \in [-\infty , \infty ]\) . For a given issue, agent \(i\)  has a stance with sign \(\sigma (x_i)\)  and a conviction with strength \(|x_i|\) . Strong convictions correspond to one of two extremes. Agent opinions change based on their interactions with other agents \(A_{ij}(t)\) , the strength of social interactions \(K > 0\) , and the controversialness of the issue \(\alpha > 0\)  as in Ref [1]}. The opinion dynamics is given by
\(\dot{x}_i= -x_i + K \left(\sum ^{N}_{j=1} A_{ij} (t) \tanh {(\alpha x_j)}\right) + D \sqrt{n}\left( \langle X_{n} \rangle -\langle X \rangle \right)\) 
